22111111220010 has 256 divisors, whose sum is σ = 57848723251200. Its totient is φ = 5390335641600.

The previous prime is 22111111219987. The next prime is 22111111220171. The reversal of 22111111220010 is 1002211111122.

It is a happy number.

It is a super-3 number, since 3×22111111220010³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 880311972 + ... + 880337088.

It is an arithmetic number, because the mean of its divisors is an integer number (225971575200).

Almost surely, 2^{22111111220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111111220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28924361625600).

22111111220010 is an abundant number, since it is smaller than the sum of its proper divisors (35737612031190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22111111220010 is a wasteful number, since it uses less digits than its factorization.

22111111220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25597.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22111111220010 its reverse (1002211111122), we get a palindrome (23113322331132).

It can be divided in two parts, 221111112 and 20010, that added together give a palindrome (221131122).

The spelling of 22111111220010 in words is "twenty-two trillion, one hundred eleven billion, one hundred eleven million, two hundred twenty thousand, ten".